The length of a rectangle is 8 feet more than it's width. The area of the rectangle is 84 square feet. Find it's length and width.

Length of the rectangle is 14 ft and width is 6 ft

Step-by-step explanation:

⇒ Area of the rectangle = length × width

⇒ 84 = x(8 + x) = 8x + x²

⇒ x² + 8x - 84 = 0

⇒ x² + 14x - 6x - 84 = 0 (Using product sum rule to factorize)

⇒ x(x + 14) - 6(x + 14) = 0

⇒ (x + 14)(x - 6) = 0

⇒ x = -14, +6 (negative value is neglected)

∴ x = 6 and x + 8 = 14

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

to find the perimeter, you add up all the lengths of the sides. in this case you would have to add up 18+22+40+80 which equals 160.